Finding the Third Proportional to 2,523.94 and 5,150.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.94 : 5,150.81 = 5,150.81 : x
2. Step 2: Convert to fraction form
   2,523.94/5,150.81 = 5,150.81/x
3. Step 3: Cross multiply
   2,523.94x = 5,150.81 × 5,150.81
4. Step 4: Simplify right side
   2,523.94x = 26,530,869.41
5. Step 5: Solve for x
   x = 26,530,869.41/2,523.94
6. Step 6: Final answer
   x = 10,511.70